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Finding the Fourth Proportional to 1,036.95, 1,555.02 and 459.42

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Solution

The fourth proportional to 1,036.95, 1,555.02 and 459.42 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.95 : 1,555.02 = 459.42 : x
  2. Step 2: Convert to fraction form
    1,036.95/1,555.02 = 459.42/x
  3. Step 3: Cross multiply
    1,036.95x = 1,555.02 × 459.42
  4. Step 4: Simplify right side
    1,036.95x = 714,411.50
  5. Step 5: Solve for x
    x = 714,411.50/1,036.95
  6. Step 6: Final answer
    x = 688.95

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.